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Preprint 2015-19

Johnny Guzman, Filander A. Sequeira, Chi - Wang Shu:

H(div) conforming and DG methods for the incompressible Euler equations

Abstract:

H(div) conforming and discontinuous Galerkin (DG) methods are designed for the incompressible Euler equation in two and three dimension. Error estimates are proved for both the semi-discrete method and fully-discrete method using backward Euler time stepping. Numerical examples exhibiting the performance of the methods are given.

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This preprint gave rise to the following definitive publication(s):

Johnny GUZMAN, Filander A. SEQUEIRA, Chi - Wang SHU: H(div) conforming and DG methods for the incompressible Euler equations. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 1733-1771, (2017).

 

 

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